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Finding the Third Proportional to 90,593.50 and 149,728.50

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Solution

The third proportional to 90,593.50 and 149,728.50 is: 247,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,593.50 : 149,728.50 = 149,728.50 : x
  2. Step 2: Convert to fraction form
    90,593.50/149,728.50 = 149,728.50/x
  3. Step 3: Cross multiply
    90,593.50x = 149,728.50 × 149,728.50
  4. Step 4: Simplify right side
    90,593.50x = 22,418,623,712.25
  5. Step 5: Solve for x
    x = 22,418,623,712.25/90,593.50
  6. Step 6: Final answer
    x = 247,463.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.